Pith Number

pith:CACZKHZP

pith:2015:CACZKHZP3XSOHLIHOLPU2E67HQ

not attested not anchored not stored refs pending

Alternating numbers of torus knots with small braid index

Peter Feller, Raphael Zentner, Simon Pohlmann

arxiv:1508.05825 v1 · 2015-08-24 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CACZKHZP3XSOHLIHOLPU2E67HQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:15.853232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1005951f2fdde4e3ad0772df4d13df3c2ac8f185c18e649982b34548b879ad3e

Aliases

arxiv: 1508.05825 · arxiv_version: 1508.05825v1 · doi: 10.48550/arxiv.1508.05825 · pith_short_12: CACZKHZP3XSO · pith_short_16: CACZKHZP3XSOHLIH · pith_short_8: CACZKHZP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CACZKHZP3XSOHLIHOLPU2E67HQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1005951f2fdde4e3ad0772df4d13df3c2ac8f185c18e649982b34548b879ad3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299d456ac538571dd6271c9e2610eb2b11fd1be3cf7b41de2f939940d3c9fcfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-24T14:40:21Z",
    "title_canon_sha256": "7099f8bfa73747613784df312a25df2c5334a5e88fe71d6a34865aaa96507f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05825",
    "kind": "arxiv",
    "version": 1
  }
}